Search a number
-
+
4250522240 = 27517390673
BaseRepresentation
bin1111110101011001…
…1101001010000000
3101222020002220100122
43331112131022000
532201113202430
61541435235412
7210221562056
oct37526351200
911866086318
104250522240
1118913442a8
129a75a8b68
135297b7a23
142c47281d6
1519d25dee5
hexfd59d280

4250522240 has 64 divisors (see below), whose sum is σ = 10759161960. Its totient is φ = 1600192512.

The previous prime is 4250522231. The next prime is 4250522261. The reversal of 4250522240 is 422250524.

4250522240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4181432896 + 69089344 = 64664^2 + 8312^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184457 + ... + 206216.

Almost surely, 24250522240 is an apocalyptic number.

4250522240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4250522240 is an abundant number, since it is smaller than the sum of its proper divisors (6508639720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4250522240 is a wasteful number, since it uses less digits than its factorization.

4250522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390709 (or 390697 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4250522240 is about 65196.0293269460. The cubic root of 4250522240 is about 1619.8722451710.

Adding to 4250522240 its reverse (422250524), we get a palindrome (4672772764).

The spelling of 4250522240 in words is "four billion, two hundred fifty million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 390673 781346 1562692 1953365 3125384 3906730 6250768 6641441 7813460 12501536 13282882 15626920 25003072 26565764 31253840 33207205 50006144 53131528 62507680 66414410 106263056 125015360 132828820 212526112 250030720 265657640 425052224 531315280 850104448 1062630560 2125261120 4250522240